6 - 3/8 as a fraction

Learn how to find what is 6 minus 3/8 in fraction form just in a few minutes. We have covered the easiest method to write 6 - 3/8 as a fraction and decimal.

Summary: 6 minus 3/8 = 45/8
Since both fractions have unequal denominators, 6 minus 3/8 is an unlike fractions subtraction. For subtracting unlike fractions, you have to first find the equivalent fractions for fraction 6 and fraction 3/8 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 1 and 8. 8 is the LCM of 1 and 8. Multiplying the LCM 8 with the numerators and denominators of both fractions (6 x 8/8) - (3/8 x 8/8), and simplify further in order to have the common denominator. So the equivalent fraction for 6 is 48/8 and for 3/8 is 3/8. By simplifying this fraction subtraction 48/8 - 3/8, it becomes 45/8.

CALCULATION: 6 - 3/8 as a fraction
6 - 3/8 = (?)
6/1 - 3/8 = [(6 x 8) - (3 x 1)]/(1 x 8)
= (48 - 3)/8
= 45/8
6 - 3/8 = 45/8
6 minus 3/8 as a fraction is 45/8.

where
6 is a whole number as a minuend,
3/8 is a proper fraction as a subtrahend,
45/8 is the difference between 6 and 3/8.

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6 minus 3/8 as a decimal
6 - 3/8 = 45/8
45/8 = 5.625
(6) - (3/8) as a decimal is 5.625

where
5.625 is the difference between 6 and 3/8.

The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 3/8 from 6. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 6 minus 3/8.
1. LCM method
2. Cross multiplication method.

(6) - (3/8) using LCM Method:
What is 6 minus 3/8 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 6/1
Fraction B: 3/8

What to be found?
(6) - (3/8) = ?
Find what's the difference between 6 and 3/8.

step 2 Compare the denominators of fractions 6 and 3/8 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 6 and 3/8 are not equal, it is said to be unlike fractions subtraction.

step 3For unlike fractions subtraction, find the LCM (least common multiple) of both denominators of fractions 6 and 3/8:
The LCM of 1 and 8 is 8.

step 4 Write the fractions 6 and 3/8 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
= 6 - 3/8
= [(6 x 8)/(1 x 8)] - [(3 x 8)/(8 x 8)]

step 5 Simplify the expression to have common denominator:
= 48/8 - 3/8

step 6 Take the common values out and rewrite the above expression like the below:
= 1/8 x (48/1 - 3/1)
= 1/8 x (48 - 3)

step 7Simplify the above expression further:
= 1/8 x 45
= 45/8
6 - 3/8 = 45/8

Hence,
6 minus 3/8 as a fraction is 45/8.

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6 - 3/8 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 6/1
Fraction B: 3/8

What to be found?
(6)-(3/8) = ?
Find what's the difference between 6 and 3/8.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (6 x 8), find the product of numerator of Fraction B and denominator of Fraction A (3 x 1), and find the product of both denominators of Fraction A and Fraction B (1 x 8) and rewrite the equation as like the below:
= (6 x 8) - (3 x 1)/(1 x 8)

step 3 Simplify and rewrite the fraction:
= (48 - 3)/8
6 - 3/8 = 45/8

Hence,
6 minus 3/8 in fraction is 45/8